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Finding the Fourth Proportional to 133,494.73, 200,200.77 and 38,731.87

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Solution

The fourth proportional to 133,494.73, 200,200.77 and 38,731.87 is: 58,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494.73 : 200,200.77 = 38,731.87 : x
  2. Step 2: Convert to fraction form
    133,494.73/200,200.77 = 38,731.87/x
  3. Step 3: Cross multiply
    133,494.73x = 200,200.77 × 38,731.87
  4. Step 4: Simplify right side
    133,494.73x = 7,754,150,197.54
  5. Step 5: Solve for x
    x = 7,754,150,197.54/133,494.73
  6. Step 6: Final answer
    x = 58,085.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.